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A company that manufactures precision special-alloy steel shafts claims that the variance in the diameters of shafts is no more than 0.0003. A random sample of 10 shafts gave a sample variance of 0.00027. At the 5% level of signi?cance, test whether the company's claim can be substantiated.
In what ways is the t distribution similar to the standard normal distribution? In what ways is the t distribution different from the standard normal distribution? How does the formula for the t test differ from the formula for the z test?
Compute b1, slope of an OLS regression line using dollars spent as dependent variable (Y) and age as independent variable (X).
We want to show that a real number, chosen at random from the interval [0,1], can be approximated to within 1/(n²) by rational numbers of the form k/n.
Iindicate what two populations are being compared, (b) state the research hypothesis, (c) state the null hypothesis, and (d) say whether you should use a one-tailed or two-tailed test and why.
A researcher wants to know if elderly people who own dogs are equally as likely to pay visits to their doctors than those who do not own dogs.
A statistical study reported that a drug was effective with a p-value of .042. Explain in words what this tells you.
Define validity and reliability. How can we insure our data is both reliable and valid? Which of these two do you think is the more important? Provide examples to support your reasoning.
Given the following data from two independent samples, conduct a one-tailed hypothesis test to determine if the first sample mean is larger than the second sample mean, given a 0.05 level of significance.
During the past six months, 73.2% of US households purchased sugar. Assume that these expenditures are approximately normally distributed with a mean of $8.22 and a standard deviation of $1.10. 80% of the households spent more than what amount?
Identify whether it is an experiment or an observation study/survey. If experiment: identify experimental design, experimental units, factors & levels, response variable, and blocks (if any).
in a survey of 490 potential jurors one study found that 350 were regular watchers of at least one crime-scene
Particular brand that they buy. A retailer has ordered a consignment of 5000 such lamps for its chain store nationwide. What is the probability that, the number of defective lamps will be 500 or less?
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